Juxiang Sun

collaborators

7 papers

math.RT2026

Tilting pairs and Wakamatsu tilting pairs of subcategories over cleft extensions

Guoqiang Zhao, Juxiang Sun

Let $(B, A, i, e, l)$ be a cleft extension of abelian categories. We prove that the functor $l$ preserves and reflects (Wakamatsu) tilting pairs of subcategories…

math.RT2026

Silting and tilting objects in cleft extensions of abelian categories

Guoqiang Zhao, Juxiang Sun

We establish connections between silting and tilting objects in an abelian category $B$ and those in a cleft extension $A$ of $B$ , which provides a me…

math.RA2025

$X$ -Gorenstein projective and $Y$ -Gorenstein injective modules over tensor rings

Guoqiang Zhao, Juxiang Sun

Let $T_{R} (M)$ be a tensor ring and $X$ , $Y$ be two classes of $R$ -modules. Under certain conditions, we prove that a $T_{R} (M)$ -module $(A, u)$ is $Ind(\mathcal{X}…

math.AC2025

Construction of Gorenstein projective modules over tensor rings

Guoqiang Zhao, Juxiang Sun

For a tensor ring $T_{R} (M)$ , we obtain sufficient and necessary conditions to describe all complete projective resolutions and all Gorenstein projective modules. As a consequence, w…

math.RT2025

Constructions of symmetric separable equivalences and their applications

Juxiang Sun, Guoqiang Zhao

Let $I^$ and $I^$ be symmetrically separably equivalent Artin algebras. We prove that there exist symmetrical separable equivalences between certain endomorphism algebras of module…

math.RT2025

Gorenstein categories and separable equivalences

Guoqiang Zhao, Juxiang Sun

Let $C$ be an additive subcategory of left $I^$ -modules, we establish relations of the orthogonal classes of $C$ and (co)res $C$ under sep…

Tilting pairs and Wakamatsu tilting pairs of subcategories over cleft extensions

Silting and tilting objects in cleft extensions of abelian categories

X-Gorenstein projective and Y-Gorenstein injective modules over tensor rings

Construction of Gorenstein projective modules over tensor rings

Constructions of symmetric separable equivalences and their applications

Gorenstein categories and separable equivalences

$X$ -Gorenstein projective and $Y$ -Gorenstein injective modules over tensor rings